MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS

DOI10.1142/S0218127411030647zbMath1270.37055OpenAlexW1983121487MaRDI QIDQ2843664

S. Lovejoy, Daniel Schertzer

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411030647

zbMATH Keywords

scalingmultifractalsgeophysicsgeneralized scale invariance

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Fractals (28A80) Dynamical systems over complex numbers (37F99) General questions in geophysics (86A04)

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Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Semimartingales: A course on stochastic processes
• Metric spaces and completely monontone functions
• Sur la distribution limite du terme maximum d'une série aléatoire
• Self-organized criticality
• Fractal measures and their singularities: The characterization of strange sets
• Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence
• Multifractal Cascade Dynamics and Turbulent Intermittency
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• A simple dynamical model of intermittent fully developed turbulence
• Deterministic Nonperiodic Flow
• Indeterminacy of the Moment Problem for Intermittent Turbulence
• Symmetry

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